Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(t) = 4e-t cos 2?t on [-2, 3] divided into 5 subintervals (Round to the nearest hundredth.)

A. -5.63
B. -76.57
C. 5.63
D. -29.63


Answer: A

Mathematics

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Using a calculator, find to the nearest ten-thousandth.ln 0.992

A. -0.0080 B. -0.0035 C. 0.0035 D. 0.0080

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Evaluate the expression.-73

A. 21 B. -21 C. -343 D. 343

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Express the integrand as a sum of partial fractions and evaluate the integral.

A. 3 ln  +  tan-1  + C
B. ln  +  tan-1  + C
C. 3 ln  + tan-1  + C
D. 3 ln  +  tan-1  + C

Mathematics

Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole.Find the amount of decrease and the percent decrease if the original amount is  and the new amount is -5100.

A. 5202; 5095% B. 5202; 5100% C. 5202; 5200% D. 5202; 5110%

Mathematics